New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Permutations and Combinations question

2025 · 23 Jan · Shift 2 · Q48

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Permutations and Combinations
2025 · 23 Jan · Shift 2 · Q48

Permutations and Combinations question

2025 · 23 Jan · Shift 2 · Q48

JEE MainMathematicsPermutations and CombinationsNumerical+4 / −1

The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is

\underline{\hspace{2cm}}

.

Numerical answer

More from Permutations and Combinations

The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is .2025 · Numerical
Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can be invited for a picnic if 5 of them must be from group $A$ and the remaining 3 from group $B$ , is equal to :2025 · MCQ
Number of functions $f : {1, 2, \dots, 100} \to {0, 1}$ , that assign 1 to exactly one of the positive integers less than or equal to 98 , is equal to .2025 · Numerical
Let $^{n} C_{r - 1} = 28,^{n} C_{r} = 56$ and $^{n} C_{r + 1} = 70$ . Let $A (4 cost, 4 sin t), B (2 sin t, - 2 cos t)$ and $C (3 r - n, r^{2} - n - 1)$ be the vertices of a triangle $A B C$ , where $t$ is a parameter. If $(3 x - 1)^{2} + (3 y)^{2} = α$ …2025 · MCQ
The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 , $1, 2, 3, 4, 5, 6, 7$ , such that the sum of their first and last digits should not be more than 8 , is2025 · MCQ
The number of natural numbers, between 212 and 999, such that the sum of their digits is 15, is .2025 · Numerical
Let $P$ be the set of seven digit numbers with sum of their digits equal to 11. If the numbers in $P$ are formed by using the digits 1, 2 and 3 only, then the number of elements in the set $P$ is :2025 · MCQ
The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that appears in the word must appear at least twice, is .2025 · Numerical